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Electricity and Electronics · AC Current and Power

Oscilloscopes and waveform measurements

An oscilloscope displays the change in voltage over time. The scale setting alters the size of the waveform being displayed, but does not change the actual frequency of the signal.

Related experiment: Oscilloscope measurements →
Oscilloscope measurements
Oscilloscope measurements: simulation view →

Meaning and mechanism

The horizontal scale represents one unit of time, and the vertical scale represents one unit of voltage. It is necessary to convert the repetition interval and height of the waveform from scale units to actual units.

The trigger aligns the screen’s reference point when it passes at the predetermined voltage in the specified direction. It does not create the physical cycle of the signal, but rather assists in achieving a stable display.

Relationships and conditions

The difference in time between two identical states in a cycle is represented by T, and f=1/T is calculated. The peak-to-peak voltage is the difference between the maximum and minimum values.

Real instruments are affected by bandwidth, sampling, probes, and noise. If the trigger level lies outside the signal’s range, the required crossing may not exist and the display may be unstable.

What to observe in the simulation

The horizontal scale is time per division and the vertical scale is voltage per division. Changing scales does not change the signal frequency.

Signals are ideal, with no noise or bandwidth limit. The trigger uses rising edges. Levels outside the amplitude give no trigger. Cursors are adjusted in divisions. Use this simulation; do not reproduce it with real power supplies or wall outlets.

Key relationships and symbols

T = Δt · f = 1/T · Vpp = Vmax − Vmin

Symbols and units used in the formulas
SymbolMeaningUnit
TTime for one cycles
Vppmaximum voltage − minimum voltageV
ffrequencyHz

Worked example

What peak-to-peak voltage is measured with cursors 4 div apart at 1 V/div?

4 V

Common misconceptions

  • Changing the scale on the time axis causes the waveform to appear narrower, but the actual period of the signal has not changed.

Explore this concept through experiments

References

OpenStax · University Physics Volume 2 (English)